Pith Number

pith:AIRJSMIF

pith:2012:AIRJSMIFAJWTCE2AMFKPNLVJZ4

not attested not anchored not stored refs pending

Pencils on separating (M-2)-curves

Marc Coppens

arxiv:1206.3016 v1 · 2012-06-14 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIRJSMIFAJWTCE2AMFKPNLVJZ4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:53:33.025279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0222993105026d3113406154f6aea9cf075e53bf6b53c6d1a8aee6923d3f843f

Aliases

arxiv: 1206.3016 · arxiv_version: 1206.3016v1 · doi: 10.48550/arxiv.1206.3016 · pith_short_12: AIRJSMIFAJWT · pith_short_16: AIRJSMIFAJWTCE2A · pith_short_8: AIRJSMIF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AIRJSMIFAJWTCE2AMFKPNLVJZ4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0222993105026d3113406154f6aea9cf075e53bf6b53c6d1a8aee6923d3f843f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b76632ca53bfd95b24b3844aebf5e14e9b9693e5f17c1c26ce5197698420aea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-14T06:28:50Z",
    "title_canon_sha256": "de8d89ac58f4147882dc35f1b1e4452dd89a7ca80ab06b080d43bf167c18e484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3016",
    "kind": "arxiv",
    "version": 1
  }
}